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20211021100000 = 25551811116631
BaseRepresentation
bin1001001100001101111101…
…01110111011001111100000
32122120011011210220002011001
410212012332232323033200
510122114132400200000
6110552452004401344
74154124641541523
oct446067656731740
978504153802131
1020211021100000
11649249a568845
1223250460a6254
13b37b77a07553
144dc30bd42bba
15250b05b6646a
hex1261bebbb3e0

20211021100000 has 144 divisors (see below), whose sum is σ = 50009699611872. Its totient is φ = 8039736000000.

The previous prime is 20211021099977. The next prime is 20211021100003. The reversal of 20211021100000 is 112011202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 20211021100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211021100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17541685 + ... + 18658315.

It is an arithmetic number, because the mean of its divisors is an integer number (347289580638).

Almost surely, 220211021100000 is an apocalyptic number.

20211021100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211021100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25004849805936).

20211021100000 is an abundant number, since it is smaller than the sum of its proper divisors (29798678511872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20211021100000 is an equidigital number, since it uses as much as digits as its factorization.

20211021100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116847 (or 1116819 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20211021100000 its reverse (112011202), we get a palindrome (20211133111202).

The spelling of 20211021100000 in words is "twenty trillion, two hundred eleven billion, twenty-one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 181 200 250 362 400 500 625 724 800 905 1000 1250 1448 1810 2000 2500 2896 3125 3620 4000 4525 5000 5792 6250 7240 9050 10000 12500 14480 18100 20000 22625 25000 28960 36200 45250 50000 72400 90500 100000 113125 144800 181000 226250 362000 452500 565625 724000 905000 1116631 1131250 1810000 2233262 2262500 3620000 4466524 4525000 5583155 8933048 9050000 11166310 17866096 18100000 22332620 27915775 35732192 44665240 55831550 89330480 111663100 139578875 178660960 202110211 223326200 279157750 404220422 446652400 558315500 697894375 808440844 893304800 1010551055 1116631000 1395788750 1616881688 2021102110 2233262000 2791577500 3233763376 3489471875 4042204220 4466524000 5052755275 5583155000 6467526752 6978943750 8084408440 10105510550 11166310000 13957887500 16168816880 20211021100 22332620000 25263776375 27915775000 32337633760 40422042200 50527552750 55831550000 80844084400 101055105500 111663100000 126318881875 161688168800 202110211000 252637763750 404220422000 505275527500 631594409375 808440844000 1010551055000 1263188818750 2021102110000 2526377637500 4042204220000 5052755275000 10105510550000 20211021100000